How do you express #2x+y=8# in the form #y=mx+b#, what is the slope and y intercept?

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Answer 1 · 2017-01-02T01:43:56

See full explanation below.

To express this equation in the form of #y = color(red)(m)x + color(blue)(b)# you need to subtract #color(green)(2x) from each side of the equation:

#2x - color(green)(2x) + y = color(green)(2x) + 8#

#0 + y = -2x + 8#

#y = -2x + 8#

This equation is now in the slope intercept form.

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b# is the y-intercept value.

Looking at our equation:

#y = color(red)(-2)x + color(blue)(8)#

Therefore:

#color(red)(m = -2)# so the slope is #color(red)(-2)#

#color(blue)(b = 8)# so the y-intercept is #color(blue)(8)# or (#color(blue)(0)#,#color(blue)( 8)#)